{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 基于流行度的推荐"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 工具包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-26T05:34:54.624167Z",
     "start_time": "2017-09-26T05:34:46.420964Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'sys' (built-in)>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# -*- coding:utf-8 -*-\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import sys\n",
    "import importlib\n",
    "importlib.reload(sys)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 读取数据\n",
    "用户(10万)、歌曲（3万）、播放次数、歌曲元数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user</th>\n",
       "      <th>song</th>\n",
       "      <th>listen_count</th>\n",
       "      <th>title</th>\n",
       "      <th>release</th>\n",
       "      <th>artist_name</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOADQPP12A67020C82</td>\n",
       "      <td>12</td>\n",
       "      <td>You And Me Jesus</td>\n",
       "      <td>Tribute To Jake Hess</td>\n",
       "      <td>Jake Hess</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOAFTRR12AF72A8D4D</td>\n",
       "      <td>1</td>\n",
       "      <td>Harder Better Faster Stronger</td>\n",
       "      <td>Discovery</td>\n",
       "      <td>Daft Punk</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOANQFY12AB0183239</td>\n",
       "      <td>1</td>\n",
       "      <td>Uprising</td>\n",
       "      <td>Uprising</td>\n",
       "      <td>Muse</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOAYATB12A6701FD50</td>\n",
       "      <td>1</td>\n",
       "      <td>Breakfast At Tiffany's</td>\n",
       "      <td>Home</td>\n",
       "      <td>Deep Blue Something</td>\n",
       "      <td>1993</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>d6589314c0a9bcbca4fee0c93b14bc402363afea</td>\n",
       "      <td>SOBOAFP12A8C131F36</td>\n",
       "      <td>7</td>\n",
       "      <td>Lucky (Album Version)</td>\n",
       "      <td>We Sing.  We Dance.  We Steal Things.</td>\n",
       "      <td>Jason Mraz &amp; Colbie Caillat</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                       user                song  listen_count  \\\n",
       "0  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOADQPP12A67020C82            12   \n",
       "1  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOAFTRR12AF72A8D4D             1   \n",
       "2  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOANQFY12AB0183239             1   \n",
       "3  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOAYATB12A6701FD50             1   \n",
       "4  d6589314c0a9bcbca4fee0c93b14bc402363afea  SOBOAFP12A8C131F36             7   \n",
       "\n",
       "                           title                                release  \\\n",
       "0               You And Me Jesus                   Tribute To Jake Hess   \n",
       "1  Harder Better Faster Stronger                              Discovery   \n",
       "2                       Uprising                               Uprising   \n",
       "3         Breakfast At Tiffany's                                   Home   \n",
       "4          Lucky (Album Version)  We Sing.  We Dance.  We Steal Things.   \n",
       "\n",
       "                   artist_name  year  \n",
       "0                    Jake Hess  2004  \n",
       "1                    Daft Punk  2007  \n",
       "2                         Muse     0  \n",
       "3          Deep Blue Something  1993  \n",
       "4  Jason Mraz & Colbie Caillat     0  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = pd.read_csv('./output/triplet_dataset_sub_song_merged.csv')\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 10775315 entries, 0 to 10775314\n",
      "Data columns (total 7 columns):\n",
      "user            object\n",
      "song            object\n",
      "listen_count    int64\n",
      "title           object\n",
      "release         object\n",
      "artist_name     object\n",
      "year            int64\n",
      "dtypes: int64(2), object(5)\n",
      "memory usage: 575.5+ MB\n"
     ]
    }
   ],
   "source": [
    "data.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1 最流行的歌名\n",
    "最受欢迎的Top20歌曲,这里通过统计每首歌的播放量，作为衡量标准。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "# data[['title','listen_count']].groupby('title').sum().reset_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>title</th>\n",
       "      <th>listen_count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>27315</th>\n",
       "      <td>You're The One</td>\n",
       "      <td>249521</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25073</th>\n",
       "      <td>Undo</td>\n",
       "      <td>191265</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18638</th>\n",
       "      <td>Revelry</td>\n",
       "      <td>173554</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19582</th>\n",
       "      <td>Sehr kosmisch</td>\n",
       "      <td>125017</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9923</th>\n",
       "      <td>Horn Concerto No. 4 in E flat K495: II. Romanc...</td>\n",
       "      <td>125010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5782</th>\n",
       "      <td>Dog Days Are Over (Radio Edit)</td>\n",
       "      <td>119829</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3630</th>\n",
       "      <td>Canada</td>\n",
       "      <td>113900</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11577</th>\n",
       "      <td>Invalid</td>\n",
       "      <td>100098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19544</th>\n",
       "      <td>Secrets</td>\n",
       "      <td>97507</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3797</th>\n",
       "      <td>Catch You Baby (Steve Pitron &amp; Max Sanna Radio...</td>\n",
       "      <td>89173</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18583</th>\n",
       "      <td>Représente</td>\n",
       "      <td>86528</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>743</th>\n",
       "      <td>Ain't Misbehavin</td>\n",
       "      <td>85223</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20233</th>\n",
       "      <td>Sincerité Et Jalousie</td>\n",
       "      <td>83943</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22908</th>\n",
       "      <td>The Gift</td>\n",
       "      <td>74594</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9642</th>\n",
       "      <td>Hey_ Soul Sister</td>\n",
       "      <td>70684</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7532</th>\n",
       "      <td>Fireflies</td>\n",
       "      <td>66559</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10234</th>\n",
       "      <td>I CAN'T GET STARTED</td>\n",
       "      <td>63228</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14406</th>\n",
       "      <td>Marry Me</td>\n",
       "      <td>58626</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25219</th>\n",
       "      <td>Use Somebody</td>\n",
       "      <td>56873</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24294</th>\n",
       "      <td>Tive Sim</td>\n",
       "      <td>56867</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                   title  listen_count\n",
       "27315                                     You're The One        249521\n",
       "25073                                               Undo        191265\n",
       "18638                                            Revelry        173554\n",
       "19582                                      Sehr kosmisch        125017\n",
       "9923   Horn Concerto No. 4 in E flat K495: II. Romanc...        125010\n",
       "5782                      Dog Days Are Over (Radio Edit)        119829\n",
       "3630                                              Canada        113900\n",
       "11577                                            Invalid        100098\n",
       "19544                                            Secrets         97507\n",
       "3797   Catch You Baby (Steve Pitron & Max Sanna Radio...         89173\n",
       "18583                                         Représente         86528\n",
       "743                                     Ain't Misbehavin         85223\n",
       "20233                              Sincerité Et Jalousie         83943\n",
       "22908                                           The Gift         74594\n",
       "9642                                    Hey_ Soul Sister         70684\n",
       "7532                                           Fireflies         66559\n",
       "10234                                I CAN'T GET STARTED         63228\n",
       "14406                                           Marry Me         58626\n",
       "25219                                       Use Somebody         56873\n",
       "24294                                           Tive Sim         56867"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popular_songs = data[['title','listen_count']].groupby('title').sum().reset_index()\n",
    "popular_songs_top_20 = popular_songs.sort_values('listen_count', ascending=False).head(n=20)\n",
    "\n",
    "popular_songs_top_20"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "objects = (list(popular_songs_top_20['title']))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_songs_top_20['listen_count'])\n",
    "\n",
    "plt.rcdefaults()    \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Listen Count')\n",
    "plt.title('Most popular songs')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2 最流行的releases/发行"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "# data[['release','listen_count']].groupby('release').sum().reset_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-24T14:31:19.717845Z",
     "start_time": "2017-09-24T14:31:14.004246Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "popular_release = data[['release','listen_count']].groupby('release').sum().reset_index()\n",
    "popular_release_top_20 = popular_release.sort_values('listen_count', ascending=False).head(n=20)\n",
    "\n",
    "objects = (list(popular_release_top_20['release']))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_release_top_20['listen_count'])\n",
    " \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Listen Count')\n",
    "plt.title('Most popular Release')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3 最流行的artists"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "# data[['artist_name','listen_count']].groupby('artist_name').sum().reset_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-24T14:34:20.212228Z",
     "start_time": "2017-09-24T14:34:15.653934Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "popular_artist = data[['artist_name','listen_count']].groupby('artist_name').sum().reset_index()\n",
    "popular_artist_top_20 = popular_artist.sort_values('listen_count', ascending=False).head(n=20)\n",
    "\n",
    "objects = (list(popular_artist_top_20['artist_name']))\n",
    "y_pos = np.arange(len(objects))\n",
    "performance = list(popular_artist_top_20['listen_count'])\n",
    " \n",
    "plt.bar(y_pos, performance, align='center', alpha=0.5)\n",
    "plt.xticks(y_pos, objects, rotation='vertical')\n",
    "plt.ylabel('Ltem Count')\n",
    "plt.title('Most popular Artists')\n",
    " \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4 Song count distribution\n",
    "用户播放过的歌曲的数目"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "# data[['user','title']].groupby('user').count()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "#title列为歌曲的数目\n",
    "#count of title for each unique user\n",
    "user_song_count_distribution = data[['user','title']].groupby('user').count()\n",
    "user_song_count_distribution.rename(columns = {'title': 'score'},inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>score</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>user</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0000f88f8d76a238c251450913b0d070e4a77d19</th>\n",
       "      <td>84</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>00020e8ba3f9041deed64ec9c60b26ff6bf41c66</th>\n",
       "      <td>53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>00023f6ad10cd247d187b461e6b00b7bf3ebc568</th>\n",
       "      <td>53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>00028f3cff4872bff3e9985cfa32e01a8d54e374</th>\n",
       "      <td>166</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0002e94348b2543c6e6ccf408b0160d14064e46f</th>\n",
       "      <td>198</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                          score\n",
       "user                                           \n",
       "0000f88f8d76a238c251450913b0d070e4a77d19     84\n",
       "00020e8ba3f9041deed64ec9c60b26ff6bf41c66     53\n",
       "00023f6ad10cd247d187b461e6b00b7bf3ebc568     53\n",
       "00028f3cff4872bff3e9985cfa32e01a8d54e374    166\n",
       "0002e94348b2543c6e6ccf408b0160d14064e46f    198"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "user_song_count_distribution.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>score</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>user</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>8cb51abc6bf8ea29341cb070fe1e1af5e4c3ffcc</th>\n",
       "      <td>1189</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4e73d9e058d2b1f2dba9c1fe4a8f416f9f58364f</th>\n",
       "      <td>1185</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>c1255748c06ee3f6440c51c439446886c7807095</th>\n",
       "      <td>1149</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>119b7c88d58d0c6eb051365c103da5caf817bea6</th>\n",
       "      <td>1120</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>96f7b4f800cafef33eae71a6bc44f7139f63cd7a</th>\n",
       "      <td>1078</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                          score\n",
       "user                                           \n",
       "8cb51abc6bf8ea29341cb070fe1e1af5e4c3ffcc   1189\n",
       "4e73d9e058d2b1f2dba9c1fe4a8f416f9f58364f   1185\n",
       "c1255748c06ee3f6440c51c439446886c7807095   1149\n",
       "119b7c88d58d0c6eb051365c103da5caf817bea6   1120\n",
       "96f7b4f800cafef33eae71a6bc44f7139f63cd7a   1078"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "user_song_count_distribution = user_song_count_distribution.sort_values(by='score',ascending = False)\n",
    "user_song_count_distribution.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    99996.00000\n",
       "mean       107.75746\n",
       "std         79.74358\n",
       "min          1.00000\n",
       "25%         53.00000\n",
       "50%         89.00000\n",
       "75%        141.00000\n",
       "max       1189.00000\n",
       "Name: score, dtype: float64"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#分布的统计量\n",
    "user_song_count_distribution.score.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "每个用户平均播放107首歌曲/中位数为89首歌曲"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-09-24T15:11:28.003535Z",
     "start_time": "2017-09-24T15:11:27.461150Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = user_song_count_distribution.score\n",
    "n, bins, patches = plt.hist(x, 50, facecolor='green', alpha=0.75)\n",
    "plt.xlabel('Play Songs')\n",
    "plt.ylabel('Num of Users')\n",
    "plt.title(r'$\\mathrm{Histogram\\ of\\ User\\ Play\\ Count\\ Distribution}\\ $')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Recommendation Engines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Pop_Recommender import popularity_recommender\n",
    "from sklearn.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Popularity based recommendations 热门歌曲推荐"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user</th>\n",
       "      <th>song</th>\n",
       "      <th>listen_count</th>\n",
       "      <th>title</th>\n",
       "      <th>release</th>\n",
       "      <th>artist_name</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>3421964</th>\n",
       "      <td>4216a89f433d1ff51367f6244102b039f5e2107e</td>\n",
       "      <td>SOHXDTJ12A81C219C2</td>\n",
       "      <td>1</td>\n",
       "      <td>We Share Our Mothers' Health (Album Version)</td>\n",
       "      <td>Silent Shout</td>\n",
       "      <td>The Knife</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1198450</th>\n",
       "      <td>45f6bf8ce7715e0a6c176b1b0f8e5eaaa1f59c5f</td>\n",
       "      <td>SOCWAVM12A8C1320D5</td>\n",
       "      <td>1</td>\n",
       "      <td>Make Yourself</td>\n",
       "      <td>When Incubus Attacks_ Vol. 1</td>\n",
       "      <td>Incubus</td>\n",
       "      <td>1999</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1761971</th>\n",
       "      <td>42fad87ca498d404cb70ca64daca25dcf9d99bb4</td>\n",
       "      <td>SOLBDNI12AB0189D1E</td>\n",
       "      <td>7</td>\n",
       "      <td>Armada Latina (feat. Pitbull and Marc Anthony)</td>\n",
       "      <td>Armada Latina (feat. Pitbull and Marc Anthony)</td>\n",
       "      <td>Cypress Hill featuring Pitbull and Marc Anthony</td>\n",
       "      <td>2010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10047344</th>\n",
       "      <td>79baa8c089a71a8fb54cf2462051b4378789eb9d</td>\n",
       "      <td>SOUKJJL12A6D4F7EF2</td>\n",
       "      <td>1</td>\n",
       "      <td>Unrecorded</td>\n",
       "      <td>Dead Cities_ Red Seas &amp; Lost Ghosts</td>\n",
       "      <td>M83</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4189624</th>\n",
       "      <td>7f64da940be21d44c6d2226f351d91ad8f457dbb</td>\n",
       "      <td>SOGOAGM12AB017E99E</td>\n",
       "      <td>76</td>\n",
       "      <td>It's Like That</td>\n",
       "      <td>It's Like This - The Best Of</td>\n",
       "      <td>RUN-DMC vs. Jason Nevins</td>\n",
       "      <td>1984</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                              user                song  \\\n",
       "3421964   4216a89f433d1ff51367f6244102b039f5e2107e  SOHXDTJ12A81C219C2   \n",
       "1198450   45f6bf8ce7715e0a6c176b1b0f8e5eaaa1f59c5f  SOCWAVM12A8C1320D5   \n",
       "1761971   42fad87ca498d404cb70ca64daca25dcf9d99bb4  SOLBDNI12AB0189D1E   \n",
       "10047344  79baa8c089a71a8fb54cf2462051b4378789eb9d  SOUKJJL12A6D4F7EF2   \n",
       "4189624   7f64da940be21d44c6d2226f351d91ad8f457dbb  SOGOAGM12AB017E99E   \n",
       "\n",
       "          listen_count                                           title  \\\n",
       "3421964              1    We Share Our Mothers' Health (Album Version)   \n",
       "1198450              1                                   Make Yourself   \n",
       "1761971              7  Armada Latina (feat. Pitbull and Marc Anthony)   \n",
       "10047344             1                                      Unrecorded   \n",
       "4189624             76                                  It's Like That   \n",
       "\n",
       "                                                 release  \\\n",
       "3421964                                     Silent Shout   \n",
       "1198450                     When Incubus Attacks_ Vol. 1   \n",
       "1761971   Armada Latina (feat. Pitbull and Marc Anthony)   \n",
       "10047344             Dead Cities_ Red Seas & Lost Ghosts   \n",
       "4189624                     It's Like This - The Best Of   \n",
       "\n",
       "                                              artist_name  year  \n",
       "3421964                                         The Knife     0  \n",
       "1198450                                           Incubus  1999  \n",
       "1761971   Cypress Hill featuring Pitbull and Marc Anthony  2010  \n",
       "10047344                                              M83  2003  \n",
       "4189624                          RUN-DMC vs. Jason Nevins  1984  "
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train, test = train_test_split(data, test_size = 0.40, random_state=0)\n",
    "\n",
    "train.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "pop_recommender = popularity_recommender()\n",
    "pop_recommender.fit(train, 'user','title')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "#基于流行度的推荐中，推荐内容对所有的用户都一样，随便取一个用户\n",
    "user = test.iat[0,0]\n",
    "recommendations = pop_recommender.predict(user)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
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       "      <th>score</th>\n",
       "      <th>rank</th>\n",
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       "  <tbody>\n",
       "    <tr>\n",
       "      <th>19582</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Sehr kosmisch</td>\n",
       "      <td>11206</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5782</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Dog Days Are Over (Radio Edit)</td>\n",
       "      <td>10543</td>\n",
       "      <td>2.0</td>\n",
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       "      <th>27315</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>You're The One</td>\n",
       "      <td>9638</td>\n",
       "      <td>3.0</td>\n",
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       "    <tr>\n",
       "      <th>19544</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Secrets</td>\n",
       "      <td>9123</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18638</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Revelry</td>\n",
       "      <td>8977</td>\n",
       "      <td>5.0</td>\n",
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       "    <tr>\n",
       "      <th>25073</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Undo</td>\n",
       "      <td>8860</td>\n",
       "      <td>6.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7532</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Fireflies</td>\n",
       "      <td>7796</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9642</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Hey_ Soul Sister</td>\n",
       "      <td>7790</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25219</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Use Somebody</td>\n",
       "      <td>7677</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9923</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Horn Concerto No. 4 in E flat K495: II. Romanc...</td>\n",
       "      <td>7433</td>\n",
       "      <td>10.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24294</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Tive Sim</td>\n",
       "      <td>7073</td>\n",
       "      <td>11.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3630</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Canada</td>\n",
       "      <td>7027</td>\n",
       "      <td>12.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23471</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>The Scientist</td>\n",
       "      <td>6977</td>\n",
       "      <td>13.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4195</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Clocks</td>\n",
       "      <td>6804</td>\n",
       "      <td>14.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12137</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Just Dance</td>\n",
       "      <td>6616</td>\n",
       "      <td>15.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26975</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Yellow</td>\n",
       "      <td>6491</td>\n",
       "      <td>16.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16440</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>OMG</td>\n",
       "      <td>6490</td>\n",
       "      <td>17.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9846</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Home</td>\n",
       "      <td>6361</td>\n",
       "      <td>18.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3296</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Bulletproof</td>\n",
       "      <td>6180</td>\n",
       "      <td>19.0</td>\n",
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       "    <tr>\n",
       "      <th>3797</th>\n",
       "      <td>be2733cfc948987f61f50041c6efa56260ed24f1</td>\n",
       "      <td>Catch You Baby (Steve Pitron &amp; Max Sanna Radio...</td>\n",
       "      <td>6111</td>\n",
       "      <td>20.0</td>\n",
       "    </tr>\n",
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      "text/plain": [
       "                                        user_id  \\\n",
       "19582  be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "5782   be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "27315  be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "19544  be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "18638  be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "25073  be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "7532   be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "9642   be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "25219  be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "9923   be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "24294  be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "3630   be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "23471  be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "4195   be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "12137  be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "26975  be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "16440  be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "9846   be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "3296   be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "3797   be2733cfc948987f61f50041c6efa56260ed24f1   \n",
       "\n",
       "                                                   title  score  rank  \n",
       "19582                                      Sehr kosmisch  11206   1.0  \n",
       "5782                      Dog Days Are Over (Radio Edit)  10543   2.0  \n",
       "27315                                     You're The One   9638   3.0  \n",
       "19544                                            Secrets   9123   4.0  \n",
       "18638                                            Revelry   8977   5.0  \n",
       "25073                                               Undo   8860   6.0  \n",
       "7532                                           Fireflies   7796   7.0  \n",
       "9642                                    Hey_ Soul Sister   7790   8.0  \n",
       "25219                                       Use Somebody   7677   9.0  \n",
       "9923   Horn Concerto No. 4 in E flat K495: II. Romanc...   7433  10.0  \n",
       "24294                                           Tive Sim   7073  11.0  \n",
       "3630                                              Canada   7027  12.0  \n",
       "23471                                      The Scientist   6977  13.0  \n",
       "4195                                              Clocks   6804  14.0  \n",
       "12137                                         Just Dance   6616  15.0  \n",
       "26975                                             Yellow   6491  16.0  \n",
       "16440                                                OMG   6490  17.0  \n",
       "9846                                                Home   6361  18.0  \n",
       "3296                                         Bulletproof   6180  19.0  \n",
       "3797   Catch You Baby (Steve Pitron & Max Sanna Radio...   6111  20.0  "
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recommendations"
   ]
  },
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